Statistical Laws of Random Strained Vortices in Turbulence

Statistical properties of random distribution of strained vortices (Burgers' vortices) in turbulence are studied, and the scaling behavior of structure functions is investigated. It is found within the scale range of interest (corresponding to the inertial range) that the third-order structure function is negative and the scaling exponent is nearly unity in accordance with Kolmogorov's four-fifths law. The inertial-range scaling exponents are estimated up to the 25th order, which are in good agreement with those obtained from experiments and direct numerical simulations once the probability distribution of the vortex strength is taken into account.